If \(a\neq2\) and \(ab\neq0,\) which of the following is equal to \(\dfrac{b(a^2-4)}{ab-2b}?\)

[BTGmoderatorLU]

Source: Manhattan Prep

If \(a\neq 2\) and \(ab \neq 0,\) which of the following is equal to \(\dfrac{b(a^2-4)}{ab-2b}?\)

A. ab
B. a
C. a + 2
D. a^2
E. 2b

The OA is C

[Brent@GMATPrepNow]

Source: Manhattan Prep

If \(a\neq 2\) and \(ab \neq 0,\) which of the following is equal to \(\dfrac{b(a^2-4)}{ab-2b}?\)

A. ab
B. a
C. a + 2
D. a^2
E. 2b

The OA is C

Given: (b)(a^2 - 4)/(ab - 2b)
Factor the difference of squares in the numerator: (b)(a + 2)(a - 2)/(ab - 2b)
Factor out the b in the denominator: (b)(a + 2)(a - 2)/(b)(a - 2)
Simplify: a + 2

Answer: C